By Harold Fletcher, C. Plumpton, Arnold A. Howell
ISBN-10: 0080167454
ISBN-13: 9780080167459
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Example text
8χ1=8χ(3χ1) = (8X3)(i) = 24 (i) = 6. 3. | X y . Using area of regions to illustrate (Fig. 35). (jX~) of a region is ^ of the region. FRACTIONS AND RATIONAL NUMBERS FIG. 35. 3 2 4X5- c = ( e 4) x ( c 4) -(3xi)xH) = («xc)x(ixl) = (3χ2)χ(}χΙ) = acx = 6X h = ac ~bd" 6 4 55 56 MATHEMATICS WITH UNDERSTANDING 5. Using the distributive principle. 2|xH = (2+i)x(3+i) = 2X(3 + Ì) + | X ( 3 + Ì) = (2X3) + (2X|) + (|X3) + ( | X | ) These various ways of considering the algorisms for multiplication are suggested in order to obtain an efficient process tofindthe product.
28) is half the value of FIG. 28. F. Function machine (Fig. 29) Input Function halve Output 4 FIG. 29. 45 46 MATHEMATICS WITH UNDERSTANDING G. Lattice (Fig. 30) l D 8 11 7 6 5 4 3 2 1 0 1 2 Δ 3 is { of FIG. 30. Addition of Fractions Activities and Discussion Points (Samples) 1. Addition of like fractions (Fig. 31). 2. Addition of unlike fractions. 3= 20 j3_ *20 / i t h 23 V W1L11 20 we can form a base unit). FRACTIONS AND RATIONAL NUMBERS (i) 47 4- shaded 4 4· shaded 4 4 shaded 4 (Ü) ■| shaded shaded 4.
Study: (a) 4 4 I (b) I 15 20 X X 1 (c) 30 25 D D 40 16 24" . • 1 fx I 8 12 _4^ 6 lx 10 15 D D (a) Are these fractions equivalent ? How do you test for equivalence ? 1 _ 2 5 ~~ 10' 1 -_ 3 3 "~ 15' 1 _ 4 5 ~~ 20' 2 6 2 __ 8 3 "~ 12' 2 _ 20 3 — 30 (b) Can you observe two equivalent fractions in the shaded areq, of the triangle (Fig. 15)? 38 MATHEMATICS WITH UNDERSTANDING FIG. 15. Ans. (a) Yes. axd = bxc. (b) \ or -§-. 10. Record a set of five equivalent fractions from these lowest terms fractions.